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The delay jitter in the visible light communication (VLC) network is analyzed in this work. First, the delay jitter under single-user and multi-user scenarios is investigated and a closed-form expression is obtained, whose accuracy is verified by simulation. Second, through analyzing the delay jitter under two typical indoor light emitting diode (LED) layouts, we find that the mean user delay jitter under cellular layout is a little lower than that of square layout. Then, we study the delay jitter for mobile users, and the relationship among user movement speed, arrival rate and delay jitter in different scenarios. The delay jitter performance is evaluated assuming perfect coordinated multiple points (CoMP) transmission strategy in VLC network. Simulation results show that in the context of VLC, static users can experience an average delay jitter of up to <inline-formula><tex-math notation="LaTeX">$10^{-6}$</tex-math></inline-formula> s, while mobile users can experience an average delay jitter of up to <inline-formula><tex-math notation="LaTeX">$10^{-5}$</tex-math></inline-formula> s. Therefore, VLC network can provide users with good delay jitter performance and customized services to meet the higher service quality requirements of future users.